Question

Suppose you take a random sample of one score from this bucket. The probability that this score shows a 3 is p(X = 3) =0.09 . The probability that this score shows a number less than 3 is p(X < 3) = . The probability that this score shows a number greater than 3 is p(X > 3) = .

Answer 1

P(X=3) = (1/11) = 0.09

P(X < 3) = (5/11) = 0.45

P(X > 3) = (5/11) = 0.45

Explanation:

The complete, correct question is shown in the attached image to this solution.

From the graph and the table,

P(X=3) = (1/11) = 0.09 (as shown in the question)

The probability that this score shows a number less than 3 is p(X < 3)

P(X < 3) = P(X=1) + P(X=2)

= (3/11) + (2/11) = (5/11) = 0.45

The probability that this score shows a number greater than 3 is p(X > 3)

P(X < 3) = P(X=4) + P(X=5)

= (2/11) + (3/11) = (5/11) = 0.45

Hope this Helps!!!